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The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. The percentage of milk in three mixtures A, B, and C is 60%, 75%, and 80% respectively. Find the quantity of water in the resultant mixture. I)  All three mixtures A, B and C are mixed in the ratio of 1 : 3 : 2 respectively. II) Quantity of resultant mixture of three mixtures is 60 liters. III) The ratio of water quantity in three mixtures is 8 : 15 : 24.

The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. The percentage of milk in three mixtures A, B, and C is 60%, 75%, and 80% respectively. Find the quantity of water in the resultant mixture. I)  All three mixtures A, B and C are mixed in the ratio of 1 : 3 : 2 respectively. II) Quantity of resultant mixture of three mixtures is 60 liters. III) The ratio of water quantity in three mixtures is 8 : 15 : 24. Correct Answer I and II together

From statement I:

Let the quantity of mixtures A, B, and C mixed be a liters, 3a liters, and 2a liters respectively.

From statement I and II:

⇒ a + 3a + 2a = 60

⇒ a = 10

Quantity of mixture A = 10 liters

Similarly, the Quantity of mixtures B and C is 30 liters and 20 liters respectively.

Quantity of water in the resultant mixture = 10 × 40/100 + 30 × 25/100 + 20 × 20/100

= 15.5 liters

From statement III:

Let the quantity of water in three mixtures be 8m, 15m and 24m liters respectively.

We can't find the quantity of water using statement III.

∴ Using statements I and II we can answer the question. 

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